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A collection of examples where Neville elimination outperforms Gaussian elimination |
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| Authors: | Pedro Alonso Rafael Gallego |
| Affiliation: | a Departamento de Matemáticas, Universidad de Oviedo, 33203 Gijon, Spain b Departamento de Matemática Aplicada, Universidad de Zaragoza, 44003 Teruel, Spain c Departamento de Matemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza, Spain |
| Abstract: | Neville elimination is an elimination procedure alternative to Gaussian elimination. It is very useful when dealing with totally positive matrices, for which nice stability results are known. Here we include examples, most of them test matrices used in MATLAB which are not totally positive matrices, where Neville elimination outperforms Gaussian elimination. |
| Keywords: | Iterative refinement Neville elimination Gaussian elimination |
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